The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/3 from 9/12. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/12 minus 1/3.
1. LCM method
2. Cross multiplication method.
9/12-1/3 using LCM Method:
What is 9/12 minus 1/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/12
Fraction B: 1/3
What to be found?
9/12-1/3 = ?
Find what's the difference between 9/12 and 1/3.
step 2 Compare the denominators of fractions 9/12 and 1/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/12 and 1/3 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 9/12 and 1/3:
The LCM of 12 and 3 is 12.
step 4 Write the fractions 9/12 and 1/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/12-1/3
=(9 x 12)/(12 x 12)-(1 x 12)/(3 x 12)
step 5 Simplify the expression to have common denominator:
=9/12-4/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (9/1-4/1)
=1/12 x (9 - 4)
step 7Simplify the above expression further:
=1/12 x 5
=5/12
9/12-1/3=5/12
Hence,
9/12 minus 1/3 equals to 5/12 in fraction.
9/12-1/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/12
Fraction B: 1/3
What to be found?
9/12-1/3 = ?
Find what's the difference between 9/12 and 1/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 3), find the product of numerator of Fraction B and denominator of Fraction A (1 x 12), and find the product of both denominators of Fraction A and Fraction B (12 x 3) and rewrite the equation as like the below:
= (9 x 3) - (1 x 12)/(12 x 3)
step 3 Simplify and rewrite the fraction:
= (27 - 12)/36
= 15/36
= 5/12
9/12-1/3 = 5/12
Hence,
9/12 minus 1/3 = 5/12